The Football Coach at State University Wishes to Determine If $\alpha = 0.02$

Essay

The football coach at State University wishes to determine if there is a decrease in offensive production between the first half and the second half of his team's recent games. The table below shows the first-half and second-half offensive production (measured in total yards gained per half) for the past six games.


Can you conclude that the mean offensive production in the first half differed fron the second half?
i). State the null and alternative hypotheses.
ii). Compute the test statistic.
iii). State a conclusion using the $\alpha = 0.02$ level of significance.